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A field is 150m long and 100m wide. A plot (outside the field) 50m long and30m wide is dug to a depth of 8m and the earth taken out from the plot is spread evenly in the field. By how much is the level of field raised? Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

Given details are, Length of field = 150m Width of field = 100m

Area of field = 150m × 100m = 15000m2

Length of plot = 50m

Breadth of the plot = 30m Depth = 8m

So, volume = l × b × h = 50×30×8 = 12000m3

Let raise in earth level of field on which it spread be ‘h’ metre Volume = l × b × h

h = volume / (l × b)

= 12000 / (50×30)

= 12000 / 1500

= 8cm

∴ The level of field is raised by 8cm.

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